Chapter 11: Q.2.3 (page 703)
Calculate the chi-square statistic. Show your work.
Short Answer
The chi-square statistic is .
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Chapter 11: Q.2.3 (page 703)
Calculate the chi-square statistic. Show your work.
The chi-square statistic is .
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T11.5. We compute the value of thestatistic to be . Assuming that the conditions for inference are met, the P-value of our test is
(a) greater than
(b) between and .
(c) between and .
(d) between and
(e) less than
HousingAccording to the Census Bureau, the distribution by ethnic background of the New York City population in a recent year was

The manager of a large housing complex in the city wonders whether the distribution by the race of the complex鈥檚 residents is consistent with the population distribution. To 铿乶d out, she records data from a random sample of residents. The table below displays the sample data

Are these data signi铿乧antly different from the city鈥檚 distribution by race? Carry out an appropriate test at the level to support your answer. If you 铿乶d a signi铿乧ant result, perform follow-up analysis.
The chi-square statistic is
(a)
(b)
(c)
(d)
(e)
Yahtzee In the game of Yahtzee, six-sided dice are rolled simultaneously. To get a Yahtzee, the player must get the same number on all dice.
(a) Luis says that the probability of getting a Yahtzee in one roll of the dice is . Explain why Luis is wrong.
(b) Nassir decides to keep rolling all 5 dice until he gets a Yahtzee. He is surprised when he still hasn鈥檛 gotten a Yahtzee afterrolls. Should he be? Calculate an appropriate probability to support your answer .
Biologists wish to mate pairs of fruit flies having genetic makeup RrCc, indicating that each has one dominant gene (R) and one recessive gene (r) for eye color, along with one dominant (C) and one recessive (c) gene for wing type. Each offspring will receive one gene for each of the two traits from each parent. The following Punnett square shows the possible combinations of genes received by the offspring:

Any offspring receiving an R gene will have red eyes, and any offspring receiving a C gene will have straight wings. So based on this Punnett square, the biologists predict a ratio of 9 red-eyed, straight-winged (x):3 red-eyed, curly-winged (y):3 white-eyed, straight-winged (z):1 white-eyed, curly-winged (w) offspring. To test their hypothesis about the distribution of offspring, the biologists mate a random sample of pairs of fruit flies. Of 200 offspring, 99 had red eyes and straight wings, 42 had red eyes and curly wings, 49 had white eyes and straight wings, and 10 had white eyes and curly wings. Do these data differ significantly from what the biologists have predicted? Carry out a test at the A 0.01 significance level
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